2055624921 has 81 divisors (see below), whose sum is σ = 3698256159. Its totient is φ = 1096841088.

The previous prime is 2055624919. The next prime is 2055624937. The reversal of 2055624921 is 1294265502.

The square root of 2055624921 is 45339.

It is a perfect power (a square), and thus also a powerful number.

2055624921 is a `hidden beast` number, since 2 + 0 + 5 + 5 + 624 + 9 + 21 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1600400025 + 455224896 = 40005^2 + 21336^2 .

It is not a de Polignac number, because 2055624921 - 2¹ = 2055624919 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2055624971) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 16185960 + ... + 16186086.

Almost surely, 2^2055624921 is an apocalyptic number.

2055624921 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

2055624921 is the 45339-th square number.

2055624921 is the 22670-th centered octagonal number.

It is an amenable number.

2055624921 is a deficient number, since it is larger than the sum of its proper divisors (1642631238).

2055624921 is a wasteful number, since it uses less digits than its factorization.

2055624921 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 308 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The cubic root of 2055624921 is about 1271.4949063346.

Multiplying 2055624921 by its sum of digits (36), we get a square (74002497156 = 272034²).

The spelling of 2055624921 in words is "two billion, fifty-five million, six hundred twenty-four thousand, nine hundred twenty-one".